In Cu2Cl2, Cu exists as Cu (I) whereas, in CuCl2, 𝐶𝑢 exists as Cu(II).
Cu(II) has smaller size but greater charge i.e., it has higher charge density, due to which hydration enthalpy involved with Cu2+(aq) is much more negative than that involved with Cu+(aq).
This makes Cu(II) i.e., CuCl2 more stable